The image you've uploaded depicts a line graphed on a coordinate plane. To convert this line into the slope-intercept form $y = mx + b$, we need to determine the slope $m$ and the y-intercept $b$.

Based on the graph:

1. Identifying the slope ($m$): The slope of a line is calculated as the rise over the run between any two points on the line. Selecting two points that the line passes through, such as $(1, -3)$ and $(2, -4)$, we calculate the slope as follows: $m = \frac{\text{change in } y}{\text{change in } x} = \frac{-4 - (-3)}{2 - 1} = \frac{-1}{1} = -1$

2. Identifying the y-intercept ($b$): The y-intercept is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at $y = -2$, so $b = -2$.

Thus, the slope-intercept form of the line is: $y = -x - 2$

Would you like more details or help with another question? Here are some related topics you might be interested in:

1. How to graph a line given in slope-intercept form.
2. How to convert an equation from standard form to slope-intercept form.
3. How to find the slope of a line given two points algebraically.
4. How to determine the x-intercept of a line.
5. What happens to the graph of a line if we change the slope or the y-intercept?

Tip: When checking the slope by counting the rise over the run on the graph, ensure that you move consistently in one direction (left-to-right or right-to-left) to maintain consistency in sign and magnitude.